What kind of sequence is this? 360, 341, 325, 312, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

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What kind of sequence is this?  360, 341, 325, 312, ...    Choices: (A)arithmetic (B)geometric (C)both (D)neither

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Identify Differences: To determine the type of sequence, we need to look at the differences or ratios between consecutive terms. First, let's find the differences between the terms. Difference between the first and second term: 341 - 360 = -19 Difference between the second and third term: 325 - 341 = -16 Difference between the third and fourth term: 312 - 325 = -13Check for Arithmetic Sequence: Now, let's check if the differences are constant, which would indicate an arithmetic sequence. Difference between the first and second term: -19 Difference between the second and third term: -16 Difference between the third and fourth term: -13 The differences are not constant; they are decreasing by 3 each time (-19, -16, -13). This means the sequence is not arithmetic.Check for Geometric Sequence: Next, let's check if there is a common ratio, which would indicate a geometric sequence. To do this, we divide each term by the previous term. Second term / First term: 341 / 360 Third term / Second term: 325 / 341 Fourth term / Third term: 312 / 325 We need to calculate these ratios to see if they are the same.Calculate Ratios: Let's calculate the ratios: Second term / First term: 341 / 360 ≈ 0.9472 Third term / Second term: 325 / 341 ≈ 0.9531 Fourth term / Third term: 312 / 325 ≈ 0.96 The ratios are not constant; they are different for each pair of terms. This means the sequence is not geometric.Final Conclusion: Since the sequence is neither arithmetic (the differences are not constant) nor geometric (the ratios are not constant), the correct choice is: (D) neither

What kind of sequence is this? $\newline$ $360, 341, 325, 312, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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What kind of sequence is this?\newline360,341,325,312,…360, 341, 325, 312, \ldots360,341,325,312,…\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

What kind of sequence is this? $\newline$ $360, 341, 325, 312, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither